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Numerous Numeral Enumeration (Posted on 2011-03-20)

(A) Determine the total number of ways in which 10²⁰¹⁰(base ten) is expressible as the product of:

(I) Four distinct positive integers arranged in increasing order of magnitude.

(II) Five distinct positive integers arranged in increasing order of magnitude.

(III) Six distinct positive integers arranged in increasing order of magnitude.

(B) What are the respective answers to each of (I), (II) and (III) in part-(A), if 10²⁰¹⁰(base ten) is replaced by 10²⁰¹⁰(base 12)?

No Solution Yet Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Solution of simple problem	Jer	2011-03-21 17:31:24
re(2): Solution of simple problem	Charlie	2011-03-21 17:20:28
re: Solution of simple problem	Charlie	2011-03-21 17:07:00
re(3): Initial thoughts.	Charlie	2011-03-21 16:07:35
Solution of simple problem	Jer	2011-03-21 14:12:28
re(2): Initial thoughts.	Jer	2011-03-21 14:07:59
re: Initial thoughts.	Charlie	2011-03-21 10:37:04
Initial thoughts.	Jer	2011-03-21 01:00:07
Hmmmm...	Math Man	2011-03-20 20:05:16
seems harder than it looks initially	Charlie	2011-03-20 12:44:51

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